Question

wo - way tables
an informal survey was taken at a farmers market. people were asked
whether they liked carrots, turnips, or both. the results are shown in the
venn diagram.
what are the values of ( a ) and ( b ) in the relative frequency table for the survey
results? round answers to the nearest percent.
( a = 40%, b = 18% )
( a = 12%, b = 18% )
( a = 41%, b = 63% )
( a = 12%, b = 17% )
root vegetables

Explanation:

Step1: Calcular el total de encuestados

Sumamos todos los valores del diagrama de Venn: \(84 + 17+25 + 15=141\)

Step2: Calcular el valor de \(a\)

\(a\) es la frecuencia relativa de "Carrots y Turnips". Usamos la fórmula \(a=\frac{17}{141}\times100\%\)

$$ \frac{17}{141}\times100\% \approx 12\% $$

Step3: Calcular el valor de \(b\)

\(b\) es la frecuencia relativa de "Not Carrots y Turnips". Usamos la fórmula \(b = \frac{25}{141}\times100\%\)

$$ \frac{25}{141}\times100\% \approx 18\% $$

Answer:

\(a = 12\%, b = 18\%\)